A Fixed Point Theorem (Classic Reprint)
Language: English
Published by Forgotten Books, 2016
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.15
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book provides a groundbreaking fixed point theorem with far-reaching implications in perturbation theory. The theorem unifies and extends previous results by Hufford and Marcus, offering a comprehensive framework for analyzing the behavior of dynamical systems under small disturbances. The author meticulously establishes the conditions under which a unique fixed point exists and demonstrates its continuous dependence on system parameters. The book culminates in a rigorous proof of the theorem, showcasing its significance in the study of differential equations and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.
Seller Inventory # 9781332748150_0
- Title
- A Fixed Point Theorem (Classic Reprint)
- Author
- Walter T. Kyner
- Publisher
- Forgotten Books
- Publication year
- 2016
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332748155
- ISBN 13
- 9781332748150
- Seller catalogs
- Calculus
Fixed-point ideas for advanced math problems
This book from A Fixed Point Theorem by Walter T. Kyner surveys how fixed-point results tie to differential equations, invariant functions, and Lipschitz conditions. It shows how existence and uniqueness can come from careful operator analysis and compactness arguments.
- Learn how linear transforms and inverses are used to build a fixed point for a function.
- See how Schauder’s theorem helps establish existence on a carefully chosen compact set.
- Understand how Lipschitz constants and uniform bounds ensure stability and continuous dependence on parameters.
- Discover connections to Marcus’ and Hufford’s results and how they influence the approach.
"Synopsis" may belong to another edition of this title.
Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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